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Finding the Fourth Proportional to 365,125.20, 503,866.44 and 203,970

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Solution

The fourth proportional to 365,125.20, 503,866.44 and 203,970 is: 281,475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,125.20 : 503,866.44 = 203,970 : x
  2. Step 2: Convert to fraction form
    365,125.20/503,866.44 = 203,970/x
  3. Step 3: Cross multiply
    365,125.20x = 503,866.44 × 203,970
  4. Step 4: Simplify right side
    365,125.20x = 102,773,637,766.80
  5. Step 5: Solve for x
    x = 102,773,637,766.80/365,125.20
  6. Step 6: Final answer
    x = 281,475.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.